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The exponent shows how many times the number is being multiplied by itself. So if it's 10 to the power of 3 (which is 1000) ur are showing a shorter way of showing 10x10x10=1000.
Power. It is the number of times you use the base as a factor in a multiplication problem.
Powers are a convenient shortcut for repeated multiplication.
If the power is a positive integer, you can use repeated multiplication. For example: 34 = 3 x 3 x 3 x 3
When we multiply two or more numbers we call them factors, and the result a product. If we multiply the same number a several time, we call it a repeating multiplication, where the factor is the number itself. For example, 5*5*5*5*5*5. In this multiplication the number 5 (or the factor 5) appears 6 times. We use the exponential form 56 as a short hand to represent this repeated multiplication of 5, and we call the factor 5 the base, and the number of its appearances in the multiplication, 6, the exponent.